ON PRIME AND SEMIPRIME MODULES AND COMODULES

被引：5
|
作者：
Ferrero, Miguel [1 ]
Rodrigues, Virginia [2 ]
机构：
[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil
[2] Univ Fed Santa Catarina, Dept Matemat, BR-88040900 Florianopolis, SC, Brazil
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 05期
关键词：
Prime modules; prime comodules; semiprime modules; semiprime comodules; corings; coalgebras;
D O I：
10.1142/S0219498806001946
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we describe the structure of prime and semiprime R-modules M such that R/Ann(R)(M) is artinian. The obtained results are then applied to describe the structure of prime and semiprime right comodules over a coring C under some assumption, where a right comodule M is said to be prime (semiprime) if the corresponding left *C-module is prime (semiprime). Finally we apply the results to coalgebras over commutative rings.
引用
收藏
页码：681 / 694
页数：14
相关论文
共 37 条
  • [21] Rational modules for corings
    Abuhlail, JY
    COMMUNICATIONS IN ALGEBRA, 2003, 31 (12) : 5793 - 5840
  • [22] Endoprime modules and their direct sums
    Lee, Gangyong
    Rizvi, S. Tariq
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2018, 17 (08)
  • [23] On the De Morgan’s Laws for Modules
    Mauricio Medina-Bárcenas
    Martha Lizbeth Shaid Sandoval-Miranda
    Ángel Zaldívar-Corichi
    Applied Categorical Structures, 2022, 30 : 265 - 286
  • [24] On the De Morgan's Laws for Modules
    Medina-Barcenas, Mauricio
    Shaid Sandoval-Miranda, Martha Lizbeth
    Zaldivar-Corichi, Angel
    APPLIED CATEGORICAL STRUCTURES, 2022, 30 (02) : 265 - 286
  • [25] Complete Path Algebras and Rational Modules
    Iovanov, M. C.
    BULLETIN MATHEMATIQUE DE LA SOCIETE DES SCIENCES MATHEMATIQUES DE ROUMANIE, 2013, 56 (03): : 349 - 364
  • [26] Cyclic homology of cyclic ∞-simplicial modules
    Lapin, Sergey, V
    GEORGIAN MATHEMATICAL JOURNAL, 2018, 25 (04) : 571 - 591
  • [27] Separable functors for the category of Doi-Hopf π-modules
    Quan-guo Chen
    Shuan-hong Wang
    Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2011, 81 : 261 - 272
  • [28] Cyclic modules with a-simplicial faces and the cyclic homology of A a-algebras
    Lapin, S. V.
    MATHEMATICAL NOTES, 2017, 102 (5-6) : 806 - 823
  • [29] Some Remarks on Hom-Modules and Hom-Path Algebras
    Zhang, Sujuan
    Yao, Hailou
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2015, 36 (02) : 213 - 224
  • [30] Dihedral ∞-simplicial modules and dihedral homology of involutive homotopy unital A∞-algebras
    Lapin, Sergey, V
    GEORGIAN MATHEMATICAL JOURNAL, 2019, 26 (02) : 257 - 286
1234